Express the following ratios in the simplest form.
$500 g : 2 k g$

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Solution

Ratio:
We know that, $1 k g = 1000 g$
$\Rightarrow 2 k g = 2 \times 1000 g = 2000 g$
Consider, $500 g : 2 k g$
$500 g : 2 k g$ $=$ $\frac{500 g}{2 k g} = \frac{500 g}{2000 g} = \frac{500 \div 500}{2000 \div 500} = \frac{1}{4} = 1 : 4$
Hence, $500 g : 2 k g$ in simplest can be written as $1 : 4$ .

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